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Author ID: pressley.andrew Recent zbMATH articles by "Pressley, Andrew"
Published as: Pressley, Andrew
Documents Indexed: 43 Publications since 1980, including 8 Books
1 Contribution as Editor
Co-Authors: 3 Co-Authors with 40 Joint Publications
83 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

39 Publications have been cited 2,711 times in 2,169 Documents Cited by Year
A guide to quantum groups. Zbl 0839.17009
Chari, Vyjayanthi; Pressley, Andrew
754
1994
Loop groups. Zbl 0618.22011
Pressley, Andrew; Segal, Graeme
610
1986
A guide to quantum groups. Zbl 0839.17010
Chari, Vyjayanthi; Pressley, Andrew
189
1995
Quantum affine algebras. Zbl 0739.17004
Chari, Vyjayanthi; Pressley, Andrew
153
1991
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
115
2001
Loop groups. Repr. with corrections. Zbl 0638.22009
Pressley, Andrew; Segal, Graeme
108
1988
Quantum affine algebras and their representations. Zbl 0855.17009
Chari, Vyjayanthi; Pressley, Andrew
105
1995
New unitary representations of loop groups. Zbl 0603.17012
Chari, Vyjayanthi; Pressley, Andrew
69
1986
An algebraic characterization of the affine canonical basis. Zbl 0964.17013
Beck, Jonathan; Chari, Vyjayanthi; Pressley, Andrew
59
1999
Quantum affine algebras and affine Hecke algebras. Zbl 0881.17011
Chari, Vyjayanthi; Pressley, Andrew
58
1996
Elementary differential geometry. 2nd ed. Zbl 1191.53002
Pressley, Andrew
51
2010
Twisted quantum affine algebras. Zbl 0915.17013
Chari, Vyjayanthi; Pressley, Andrew
43
1998
Fundamental representations of Yangians and singularities of R-matrices. Zbl 0726.17014
Chari, Vyjayanthi; Pressley, Andrew
39
1991
Elementary differential geometry. Zbl 0959.53001
Pressley, Andrew
35
2001
Yangians and R-matrices. Zbl 0726.17013
Chari, Vyjayanthi; Pressley, Andrew
34
1990
Minimal affinizations of representations of quantum groups: The simply laced case. Zbl 0893.17010
Chari, Vyjayanthi; Pressley, Andrew
29
1996
Integrable representations of twisted affine Lie algebras. Zbl 0661.17023
Chari, Vyjayanthi; Pressley, Andrew
28
1988
Minimal affinizations of representations of quantum groups: The nonsimply-laced case. Zbl 0855.17011
Chari, Vyjayanthi; Pressley, Andrew
28
1995
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
27
1996
A new family of irreducible, integrable modules for affine Lie algebras. Zbl 0608.17009
Chari, Vyjayanthi; Pressley, Andrew
27
1987
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
27
1997
Unitary representations of the Virasoro algebra and a conjecture of Kac. Zbl 0661.17022
Chari, Vyjayanthi; Pressley, Andrew
21
1988
Minimal affinization of representations of quantum groups: The irregular case. Zbl 0857.17011
Chari, Vyjayanthi; Pressley, Andrew
18
1996
Small representations of quantum affine algebras. Zbl 0795.17008
Chari, Vyjayanthi; Pressley, Andrew
17
1994
Factorization of representations of quantum affine algebras. Zbl 1013.17503
Chari, Vyjayanthi; Pressley, Andrew
13
1997
Integrable and Weyl modules for quantum affine \(\operatorname {sl}_2\). Zbl 1034.17008
Chari, Vyjayanthi; Pressley, Andrew
12
2001
Yangians: their representations and characters. Zbl 0876.17013
Chari, Vyjayanthi; Pressley, Andrew
9
1996
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
6
1985
Decompositions of the space of loops on a Lie group. Zbl 0434.58013
Pressley, Andrew
6
1980
Fundamental representations of quantum groups at roots of 1. Zbl 0954.17503
Chari, Vyjayanthi; Pressley, Andrew
4
1992
Representations of modular Lie algebras through quantum groups. Zbl 0796.17018
Chari, Vyjayanthi; Pressley, Andrew
3
1993
Minimal cyclic representations of quantum groups at roots of unity. Zbl 0747.17016
Chari, Vyjayanthi; Pressley, Andrew
3
1991
Integrable representations of Kac-Moody algebras: Results and open problems. Zbl 0779.17023
Chari, Vyjayanthi; Pressley, Andrew
3
1989
Unitary representations of the maps \(S^1\to\mathfrak{su}(N,1)\). Zbl 0662.17008
Chari, Vyjayanthi; Pressley, Andrew
2
1987
Quantum affine algebras and integrable quantum systems. Zbl 0967.17014
Chari, Vyjayanthi; Pressley, Andrew
2
1997
Loop groups. With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. (Gruppy petel’.) Zbl 0852.22002
Pressley, Andrew; Segal, Graeme B.
1
1990
Notes on quantum groups. Zbl 1051.17500
Pressley, Andrew; Chari, Vyjayanthi
1
1990
An application of Lie superalgebras to affine Lie algebras. Zbl 0717.17020
Chari, Vyjayanthi; Pressley, Andrew
1
1990
Loop groups. (Gruppy petel’). With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. Zbl 0733.22012
Pressley, Andrew; Segal, Graeme B.
1
1990
Elementary differential geometry. 2nd ed. Zbl 1191.53002
Pressley, Andrew
51
2010
Weyl modules for classical and quantum affine algebras. Zbl 0989.17019
Chari, Vyjayanthi; Pressley, Andrew
115
2001
Elementary differential geometry. Zbl 0959.53001
Pressley, Andrew
35
2001
Integrable and Weyl modules for quantum affine \(\operatorname {sl}_2\). Zbl 1034.17008
Chari, Vyjayanthi; Pressley, Andrew
12
2001
An algebraic characterization of the affine canonical basis. Zbl 0964.17013
Beck, Jonathan; Chari, Vyjayanthi; Pressley, Andrew
59
1999
Twisted quantum affine algebras. Zbl 0915.17013
Chari, Vyjayanthi; Pressley, Andrew
43
1998
Quantum affine algebras at roots of unity. Zbl 0891.17013
Chari, Vyjayanthi; Pressley, Andrew
27
1997
Factorization of representations of quantum affine algebras. Zbl 1013.17503
Chari, Vyjayanthi; Pressley, Andrew
13
1997
Quantum affine algebras and integrable quantum systems. Zbl 0967.17014
Chari, Vyjayanthi; Pressley, Andrew
2
1997
Quantum affine algebras and affine Hecke algebras. Zbl 0881.17011
Chari, Vyjayanthi; Pressley, Andrew
58
1996
Minimal affinizations of representations of quantum groups: The simply laced case. Zbl 0893.17010
Chari, Vyjayanthi; Pressley, Andrew
29
1996
Yangians, integrable quantum systems and Dorey’s rule. Zbl 0869.17015
Chari, Vyjayanthi; Pressley, Andrew
27
1996
Minimal affinization of representations of quantum groups: The irregular case. Zbl 0857.17011
Chari, Vyjayanthi; Pressley, Andrew
18
1996
Yangians: their representations and characters. Zbl 0876.17013
Chari, Vyjayanthi; Pressley, Andrew
9
1996
A guide to quantum groups. Zbl 0839.17010
Chari, Vyjayanthi; Pressley, Andrew
189
1995
Quantum affine algebras and their representations. Zbl 0855.17009
Chari, Vyjayanthi; Pressley, Andrew
105
1995
Minimal affinizations of representations of quantum groups: The nonsimply-laced case. Zbl 0855.17011
Chari, Vyjayanthi; Pressley, Andrew
28
1995
A guide to quantum groups. Zbl 0839.17009
Chari, Vyjayanthi; Pressley, Andrew
754
1994
Small representations of quantum affine algebras. Zbl 0795.17008
Chari, Vyjayanthi; Pressley, Andrew
17
1994
Representations of modular Lie algebras through quantum groups. Zbl 0796.17018
Chari, Vyjayanthi; Pressley, Andrew
3
1993
Fundamental representations of quantum groups at roots of 1. Zbl 0954.17503
Chari, Vyjayanthi; Pressley, Andrew
4
1992
Quantum affine algebras. Zbl 0739.17004
Chari, Vyjayanthi; Pressley, Andrew
153
1991
Fundamental representations of Yangians and singularities of R-matrices. Zbl 0726.17014
Chari, Vyjayanthi; Pressley, Andrew
39
1991
Minimal cyclic representations of quantum groups at roots of unity. Zbl 0747.17016
Chari, Vyjayanthi; Pressley, Andrew
3
1991
Yangians and R-matrices. Zbl 0726.17013
Chari, Vyjayanthi; Pressley, Andrew
34
1990
Loop groups. With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. (Gruppy petel’.) Zbl 0852.22002
Pressley, Andrew; Segal, Graeme B.
1
1990
Notes on quantum groups. Zbl 1051.17500
Pressley, Andrew; Chari, Vyjayanthi
1
1990
An application of Lie superalgebras to affine Lie algebras. Zbl 0717.17020
Chari, Vyjayanthi; Pressley, Andrew
1
1990
Loop groups. (Gruppy petel’). With an appendix by Segal and G. Wilson. Transl. from the 2nd English ed. and with a preface by A. V. Zelevinskij and A. O. Radul. Zbl 0733.22012
Pressley, Andrew; Segal, Graeme B.
1
1990
Integrable representations of Kac-Moody algebras: Results and open problems. Zbl 0779.17023
Chari, Vyjayanthi; Pressley, Andrew
3
1989
Loop groups. Repr. with corrections. Zbl 0638.22009
Pressley, Andrew; Segal, Graeme
108
1988
Integrable representations of twisted affine Lie algebras. Zbl 0661.17023
Chari, Vyjayanthi; Pressley, Andrew
28
1988
Unitary representations of the Virasoro algebra and a conjecture of Kac. Zbl 0661.17022
Chari, Vyjayanthi; Pressley, Andrew
21
1988
A new family of irreducible, integrable modules for affine Lie algebras. Zbl 0608.17009
Chari, Vyjayanthi; Pressley, Andrew
27
1987
Unitary representations of the maps \(S^1\to\mathfrak{su}(N,1)\). Zbl 0662.17008
Chari, Vyjayanthi; Pressley, Andrew
2
1987
Loop groups. Zbl 0618.22011
Pressley, Andrew; Segal, Graeme
610
1986
New unitary representations of loop groups. Zbl 0603.17012
Chari, Vyjayanthi; Pressley, Andrew
69
1986
Loop groups, Grassmannians and KdV equations. Zbl 0633.35064
Pressley, Andrew
6
1985
Decompositions of the space of loops on a Lie group. Zbl 0434.58013
Pressley, Andrew
6
1980
all top 5

Cited by 2,086 Authors

48 Chari, Vyjayanthi
25 Bai, Chengming
24 Ballesteros, Angel
23 Jing, Naihuan
21 Terwilliger, Paul M.
20 Mudrov, Andrey I.
18 Herranz, Francisco José
18 Molev, Alexander I.
18 Oh, Se-jin
17 Kashiwara, Masaki
17 Mickelsson, Jouko
16 Eswara Rao, Senapathi
16 Hernandez, David
16 Pressley, Andrew
16 Xu, Feng
15 Carey, Alan L.
14 Gainutdinov, Azat M.
14 Neeb, Karl-Hermann
14 Razumov, Alexander V.
14 Scrimshaw, Travis
14 Sheng, Yunhe
13 Dorfmeister, Josef F.
13 Feĭgin, Boris L’vovich
13 Greenstein, Jacob
13 Moura, Adriano A.
12 Etingof, Pavel Il’ich
11 Doikou, Anastasia
11 Futorny, Vyacheslav M.
11 Ito, Tatsuro
11 Kim, Myungho
11 Skrypnyk, Taras Volodymyrovych
10 Fourier, Ghislain
10 Frenkel, Edward V.
10 Gavarini, Fabio
10 Guay, Nicolas
10 Guo, Li
10 Gutiérrez-Sagredo, Iván
10 Helminck, Gerardus Franciscus
10 Sergeev, Armen Glebovich
10 Stukopin, Vladimir Alekseevich
10 Tingley, Peter W.
9 Baseilhac, Pascal
9 Geer, Nathan
9 Kapranov, Mikhail M.
9 Kulish, Petr Petrovich
9 Liu, Jiefeng
9 Mukhin, Evgeny
9 Murray, Michael K.
9 Patureau-Mirand, Bertrand
9 Pickrell, Doug
9 Schilling, Anne
9 Wendlandt, Curtis
9 Young, Charles A. S.
8 Brander, David
8 Feigin, Evgeny
8 Fioresi, Rita
8 Frenkel, Igor B.
8 Liu, Ming
8 Magnot, Jean-Pierre
8 Pacheco, Rui
8 Park, Euiyong
8 Ragoucy, Eric
8 Schroers, Bernd J.
8 Tan, Shaobin
8 Vasserot, Eric
8 Yang, Wenli
7 Benkart, Georgia McClure
7 Borowiec, Andrzej Zdzisław
7 Brito, Matheus
7 Daszkiewicz, Marcin
7 Glöckner, Helge
7 Gurevich, Dmitrii
7 Heller, Sebastian Gregor
7 Isaev, Alekseĭ Petrovich
7 Kobayashi, Shimpei
7 Kus, Deniz
7 Meusburger, Catherine
7 Naoi, Katsuyuki
7 Ni, Xiang
7 Rajeev, Sarada G.
7 Reshetikhin, Nikolai Yu.
7 Runkel, Ingo
7 Toledano Laredo, Valerio
7 Varchenko, Alexander Nikolaevich
7 Wood, John C.
6 Andruchow, Esteban
6 Batra, Punita
6 Cao, Junpeng
6 Chen, Fulin
6 Chirvăsitu, Alexandru
6 Freed, Daniel Stuart
6 Gautam, Sachin Singh
6 Ghosh, Pinaki Ranjan
6 Göhmann, Frank
6 Hannabuss, Keith C.
6 Hu, Jun
6 Iritani, Hiroshi
6 Kac, Victor
6 Kamnitzer, Joel
6 Kang, Seok-Jin
...and 1,986 more Authors
all top 5

Cited in 271 Serials

177 Communications in Mathematical Physics
167 Journal of Algebra
106 Journal of Geometry and Physics
99 Nuclear Physics. B
97 Advances in Mathematics
75 Journal of Mathematical Physics
72 Letters in Mathematical Physics
54 Journal of High Energy Physics
44 Theoretical and Mathematical Physics
43 Communications in Algebra
42 Journal of Functional Analysis
42 Algebras and Representation Theory
38 Journal of Pure and Applied Algebra
35 Transactions of the American Mathematical Society
33 Mathematische Zeitschrift
33 Selecta Mathematica. New Series
30 Journal of Physics A: Mathematical and Theoretical
28 Representation Theory
24 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
23 Duke Mathematical Journal
22 Physics Letters. B
21 Reports on Mathematical Physics
21 Publications of the Research Institute for Mathematical Sciences, Kyoto University
20 Transformation Groups
17 Journal of Mathematical Sciences (New York)
16 Physics Letters. A
16 Mathematische Annalen
15 Acta Applicandae Mathematicae
14 Inventiones Mathematicae
14 Linear Algebra and its Applications
13 Reviews in Mathematical Physics
13 Proceedings of the American Mathematical Society
13 Journal of the American Mathematical Society
12 Journal of Noncommutative Geometry
11 Differential Geometry and its Applications
11 Journal of Algebraic Combinatorics
10 Modern Physics Letters A
10 Annales de l’Institut Fourier
10 Memoirs of the American Mathematical Society
10 Annals of Physics
10 Journal of Lie Theory
10 Annales Henri Poincaré
9 Journal für die Reine und Angewandte Mathematik
9 Journal of Nonlinear Mathematical Physics
9 Journal of Algebra and its Applications
8 International Journal of Modern Physics A
8 Israel Journal of Mathematics
8 Functional Analysis and its Applications
8 Journal of Combinatorial Theory. Series A
8 Advances in Applied Mathematics
8 Annals of Global Analysis and Geometry
8 Algebraic & Geometric Topology
7 Journal of Computational Physics
7 Compositio Mathematica
7 Bulletin of the American Mathematical Society. New Series
6 Classical and Quantum Gravity
6 Computer Methods in Applied Mechanics and Engineering
6 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série
6 Journal of the London Mathematical Society. Second Series
6 Proceedings of the London Mathematical Society. Third Series
6 Nuclear Physics. B. Proceedings Supplements
6 Geometry & Topology
6 Communications in Contemporary Mathematics
6 Science China. Mathematics
5 Geometriae Dedicata
5 Glasgow Mathematical Journal
5 Publications Mathématiques
5 Manuscripta Mathematica
5 Physica D
5 Indagationes Mathematicae. New Series
5 Advances in Applied Clifford Algebras
5 International Journal of Geometric Methods in Modern Physics
5 Journal of Statistical Mechanics: Theory and Experiment
5 Proceedings of the Steklov Institute of Mathematics
5 Frontiers of Mathematics in China
5 Advances in Mathematical Physics
5 Forum of Mathematics, Sigma
4 General Relativity and Gravitation
4 Indian Journal of Pure & Applied Mathematics
4 International Journal of Theoretical Physics
4 Journal of Mathematical Analysis and Applications
4 Russian Mathematical Surveys
4 Forum Mathematicum
4 Science in China. Series A
4 International Journal of Mathematics
4 Journal of Knot Theory and its Ramifications
4 Bulletin des Sciences Mathématiques
4 The Ramanujan Journal
4 Mathematical Physics, Analysis and Geometry
4 Comptes Rendus. Mathématique. Académie des Sciences, Paris
4 Oberwolfach Reports
4 International Electronic Journal of Geometry
3 Applicable Analysis
3 Mathematical Proceedings of the Cambridge Philosophical Society
3 Nonlinearity
3 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
3 Acta Mathematica
3 Annali di Matematica Pura ed Applicata. Serie Quarta
3 Cahiers de Topologie et Géométrie Différentielle Catégoriques
3 Canadian Journal of Mathematics
...and 171 more Serials
all top 5

Cited in 61 Fields

1,114 Nonassociative rings and algebras (17-XX)
755 Quantum theory (81-XX)
372 Associative rings and algebras (16-XX)
311 Differential geometry (53-XX)
264 Topological groups, Lie groups (22-XX)
250 Global analysis, analysis on manifolds (58-XX)
203 Group theory and generalizations (20-XX)
177 Algebraic geometry (14-XX)
152 Dynamical systems and ergodic theory (37-XX)
139 Functional analysis (46-XX)
125 Statistical mechanics, structure of matter (82-XX)
115 Category theory; homological algebra (18-XX)
113 Combinatorics (05-XX)
108 Manifolds and cell complexes (57-XX)
100 Partial differential equations (35-XX)
87 Relativity and gravitational theory (83-XX)
66 Algebraic topology (55-XX)
59 Several complex variables and analytic spaces (32-XX)
54 Operator theory (47-XX)
46 Special functions (33-XX)
44 Commutative algebra (13-XX)
37 \(K\)-theory (19-XX)
37 Functions of a complex variable (30-XX)
33 Mechanics of particles and systems (70-XX)
28 Linear and multilinear algebra; matrix theory (15-XX)
23 Numerical analysis (65-XX)
22 Number theory (11-XX)
18 Ordinary differential equations (34-XX)
18 Probability theory and stochastic processes (60-XX)
16 Abstract harmonic analysis (43-XX)
14 Fluid mechanics (76-XX)
11 Computer science (68-XX)
10 Difference and functional equations (39-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
9 General and overarching topics; collections (00-XX)
9 Convex and discrete geometry (52-XX)
8 Harmonic analysis on Euclidean spaces (42-XX)
8 Geometry (51-XX)
8 Mechanics of deformable solids (74-XX)
6 History and biography (01-XX)
6 Order, lattices, ordered algebraic structures (06-XX)
6 Biology and other natural sciences (92-XX)
6 Information and communication theory, circuits (94-XX)
5 Approximations and expansions (41-XX)
5 Optics, electromagnetic theory (78-XX)
4 General algebraic systems (08-XX)
4 Real functions (26-XX)
3 Field theory and polynomials (12-XX)
3 Measure and integration (28-XX)
3 Potential theory (31-XX)
3 Statistics (62-XX)
2 Integral equations (45-XX)
1 Mathematical logic and foundations (03-XX)
1 Sequences, series, summability (40-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Astronomy and astrophysics (85-XX)
1 Geophysics (86-XX)
1 Operations research, mathematical programming (90-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

Citations by Year